(x+6)(2x)=0

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Solution for (x+6)(2x)=0 equation:


Simplifying
(x + 6)(2x) = 0

Reorder the terms:
(6 + x)(2x) = 0

Remove parenthesis around (2x)
(6 + x) * 2x = 0

Reorder the terms for easier multiplication:
2x(6 + x) = 0
(6 * 2x + x * 2x) = 0
(12x + 2x2) = 0

Solving
12x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(6 + x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6

Solution

x = {0, -6}

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